Non-Hermite resonance circuit for realizing transient coherent absorption and application thereof
By designing series resonators and switching switches in non-Hermi resonant circuits, adjusting the impedance module and input source, the matching of gain and loss in PT symmetric system is achieved, and the coherent perfect absorption problem that is difficult to achieve in the prior art is solved. Provides a simple and easy-to-operate solution.
Patent Information
- Application Number
- CN202411105742.0
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2024-08-13
- Publication Date
- 2024-12-17
AI Technical Summary
The prior art is difficult to achieve strict matching of gain and loss in PT symmetric systems and singular points, and requires two independent input channels to conduct stable interference, resulting in difficulty in achieving coherent perfect absorption (CPA).
A non-Hermi resonant circuit including series resonators, switches, impedance modules and input sources is designed to meet specific conditions to achieve transient coherence perfect absorption (TCPA) by adjusting the impedance magnitude and amplitude factors of the switches and impedance modules. ) and adjust the amplitude factor by adjusting the input voltage and switching switch duration.
Transient coherence perfect absorption (TCPA) is achieved under loss matching conditions, the design is simple and easy to operate, and a new architecture of dual-channel coherence interference is created, overcoming the gain and loss matching difficulties in the existing technology.
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Figure CN119154840A_ABST
Abstract
Description
Technical Field
[0001] The invention relates to the technical field of resonant circuits, and in particular to a non-Hermitian resonant circuit for realizing transient coherent absorption and an application thereof. Background Art
[0002] Resonance Interference (RI) is one of the most fascinating and ubiquitous phenomena in the physics of wave systems. Steady-state RI has been intensively studied in a large number of non-Hermitian photonic applications, such as lasers, switches, and sensors. A typical RI phenomenon in non-Hermitian systems is coherent perfect absorption (CPA). Typically, CPA is generated by the interaction of light absorption and wave interference, requiring the impedance of the input wave to match the losses of the system. Recently, CPA has made significant progress in parity-time (PT) symmetric systems and singularities, and has strict requirements on the balance of gain and loss. However, strict matching of gain and loss is difficult to achieve. Therefore, it is necessary to provide a simple and easy-to-operate technical solution to realize CPA. Summary of the invention
[0003] The purpose of the present invention is to overcome the defects of the prior art, provide a non-Hermitian resonant circuit and its application for realizing transient coherent absorption, solve the problem that the application of existing CPA in PT symmetric system and singular point requires strict matching of gain and loss, and requires two independent input channels for stable interference.
[0004] The technical solution to achieve the above purpose is:
[0005] The present invention provides a non-Hermitian resonant circuit for realizing transient coherent absorption, comprising:
[0006] A series resonator including a capacitor, an inductor and a resistor;
[0007] A switch connected to an end of the capacitor away from the inductor, the switch having a first switch connection point and a second switch connection point, and the switch can be selectively connected to the first switch connection point or the second switch connection point;
[0008] An impedance module connected to the first switching point, wherein the impedance of the impedance module is adjustable;
[0009] A first input source connected to the impedance module, wherein the other end of the first input source is connected to the resistor and grounded;
[0010] a second input source connected to the second switching connection point, wherein the other end of the second input source is connected to a ground line of the first input source;
[0011] The second switching connection point is switched by the switching switch so that the second input source charges the resonator, and the first switching connection point is switched by the switching switch, and the impedance size and / or amplitude factor of the impedance module are adjusted to meet the following conditions:
[0012] t CPA =Log[2γ S (β+1) / (γ S -γ)] / (γ S +γ) Formula 1,
[0013] In formula 1, t CPA represents the instantaneous coherent perfect absorption of the reflected wave, γ S represents the coupling between the first input source and the resonator formed by the combination of capacitance and inductance, γ S =Z S / 2L,Z S represents the impedance value of the impedance module, L represents the inductance value of the inductor, β represents the amplitude factor, the magnitude of which is determined by the energy stored in the resonator when the first switch switching point is connected to the impedance module, γ represents the inherent loss rate of the first input source, γ=R / 2L, and R represents the resistance value of the resistor;
[0014] Transient coherent perfect absorption of reflected waves in non-Hermitian resonant circuits is achieved.
[0015] A further improvement of the non-Hermitian resonant circuit for realizing transient coherent absorption of the present invention is that the input voltage of the second input source is adjustable, and the amplitude factor can be adjusted by adjusting the input voltage.
[0016] A further improvement of the non-Hermitian resonant circuit for realizing transient coherent absorption of the present invention is that the amplitude factor is adjusted by adjusting the duration of the switching switch for connecting to the second switching connection point.
[0017] A further improvement of the non-Hermitian resonant circuit for realizing transient coherent absorption of the present invention is that the reflected wave of the non-Hermitian resonant circuit includes a steady-state wave and an evanescent wave;
[0018] The steady-state wave is expressed as:
[0019]
[0020] In formula 2, S S represents a steady-state wave, γ S represents the coupling between the first input source and the resonator formed by the combination of capacitance and inductance, γ represents the inherent loss rate of the first input source, A S represents the amplitude, |S0| 2represents the power carried by the incident wave from the first input source, e iωt Indicates S S is a sine wave with an oscillation frequency of ω;
[0021] The evanescent wave is expressed as:
[0022]
[0023] In formula 3, S t represents the evanescent wave, A S represents the amplitude, γ S represents the coupling between the first input source and the resonator formed by the combination of capacitance and inductance, γ represents the inherent loss rate of the first input source, Indicates S t The oscillation frequency is ω0, and the decay rate is γ S +γ, a wave with a phase of π; The reflected wave is equal to the sum of the steady-state wave and the evanescent wave.
[0024] A further improvement of the non-Hermitian resonant circuit for realizing transient coherent absorption of the present invention lies in that the first input source is an AC voltage source; and the second input source is a DC voltage source.
[0025] The present invention also provides an application of a non-Hermitian resonant circuit for realizing transient coherent absorption in wireless power transmission.
[0026] The present invention further provides an application of a non-Hermitian resonant circuit for realizing transient coherent absorption in a sensor.
[0027] The present invention further provides an application of a non-Hermitian resonant circuit for realizing transient coherent absorption in a detector.
[0028] The non-Hermitian resonant circuit for realizing transient coherent absorption and its application have the following beneficial effects:
[0029] The non-Hermitian resonant circuit of the present invention realizes transient coherent perfect absorption (TCPA), and the resonant circuit is realized under the condition of broken loss matching conditions. The design of the resonant circuit is simple and easy to operate.
[0030] The non-Hermitian resonant circuit of the present invention creates a new architecture for dual-channel coherent interference in a single resonator. BRIEF DESCRIPTION OF THE DRAWINGS
[0031] Figure 1 The circuit diagram of the non-Hermitian resonant circuit for realizing transient coherent absorption of the present invention.
[0032] Figure 2This is a schematic diagram of the transient response of the reflected wave in the non-Hermitian resonant circuit for realizing transient coherent absorption in the present invention.
[0033] Figure 3 The invention realizes different transient responses of reflected waves, steady-state waves and evanescent waves in a non-Hermitian resonant circuit for transient coherent absorption.
[0034] Figure 4 For different amplitude factors and fixed impedance mismatch factor η=γ in the non-Hermitian resonant circuit for realizing transient coherent absorption of the present invention S / γ=20Calculate reflectivity|S 11 | 2 As a function of t / T and ω / ω0.
[0035] Figure 5 For different amplitude factors and fixed impedance mismatch factor η=γ in the non-Hermitian resonant circuit for realizing transient coherent absorption of the present invention S / γ=20Reflectivity calculated at the resonance frequency.
[0036] Figure 6 The non-Hermitian resonant circuit for realizing transient coherent absorption of the present invention has an amplitude factor equal to 1 and an impedance mismatch factor η=γ S / γ=20, reflectivity calculated at different normalized times.
[0037] Figure 7 In the non-Hermitian resonant circuit for realizing transient coherent absorption of the present invention, when the amplitude factor is equal to 0, for different mismatch factors η=γ S / γ, calculate the reflectivity as a function of t / T and ω / ω0.
[0038] Figure 8 In the non-Hermitian resonant circuit for realizing transient coherent absorption of the present invention, when the amplitude factor is equal to 0, the reflectivity calculated at the resonance frequency ω=ω0 for different impedance mismatch factors η.
[0039] Fig. 9 Comparison of calculated and simulated reflectivity as a function of t / T for the non-Hermitian resonant circuit for transient coherent absorption in the present invention when η=20, ω=ω0 and β=1. The inset shows ξ=t / t CPA =1 when transient impedance matching
[0040] Fig.10 Comparison of calculated and simulated reflectivity as a function of ω / ω0 when η=20, ξ=0.5 and β=1 in a non-Hermitian resonant circuit for realizing transient coherent absorption in the present invention.
[0041] Fig.11Calculation, comparison of simulated and experimental reflectivity as a function of t / T when η=20, ω=ω0 and β=0 in a non-Hermitian resonant circuit for realizing transient coherent absorption for the present invention. The inset shows the basic RLC circuit.
[0042] Fig.12 The present invention provides a comparison of the reflectivity as a function of ω / ω0 in a non-Hermitian resonant circuit for realizing transient coherent absorption when η=20, ξ=1, and calculation, simulation and experiment. DETAILED DESCRIPTION
[0043] The present invention will be further described below in conjunction with the accompanying drawings and specific embodiments.
[0044] See also Figure 1 The present invention provides a non-Hermitian resonant circuit for achieving transient coherent perfect absorption and its application, which is used to achieve transient coherent perfect absorption under impedance mismatch conditions, and the circuit design is simple and easy to operate. The non-Hermitian resonant circuit for achieving transient coherent perfect absorption and its application of the present invention are described below in conjunction with the accompanying drawings.
[0045] See also Figure 1 , shows a circuit diagram of a non-Hermitian resonant circuit for realizing transient coherent absorption according to the present invention. Figure 1 , the non-Hermitian resonant circuit for realizing transient coherent absorption of the present invention is described.
[0046] like Figure 1 As shown, the non-Hermitian resonant circuit for realizing transient coherent absorption of the present invention includes a series resonator, which includes a capacitor, an inductor and a resistor. The non-Hermitian resonant circuit also includes a switching switch, a first input source Vs, an impedance module Zs and a second input source VDC. The switching switch is connected to an end of the capacitor C away from the inductor L. The switching switch has a first switching connection point and a second switching connection point. The switching switch can be selectively connected to the first switching connection point or the second switching connection point; the impedance module Zs is connected to the first switching connection point, and the impedance size of the impedance module Zs is adjustable; the first input source Vs is connected to the impedance module Zs, and the other end of the first input source Vs is connected to the resistor R and grounded; the second input source VDC is connected to the second switching connection point, and the other end of the second input source VDC is connected to the ground line of the first input source Vs; the second switching connection point is switched by the switching switch to enable the second input source to charge the resonator, and the first switching connection point is switched by the switching switch to adjust the impedance size and / or amplitude factor of the impedance module Zs to meet the following conditions:
[0047] t CPA =Log[2γ S (β+1) / (γ S -γ)] / (γ S +γ) Formula 1,
[0048] In formula 1, t CPA represents the instantaneous coherent perfect absorption of the reflected wave, γ S represents the coupling between the first input source and the resonator formed by the combination of capacitance and inductance, γ S =Z S / 2L,Z S represents the impedance value of the impedance module, L represents the inductance value of the inductor, β represents the amplitude factor, the magnitude of which is determined by the energy stored in the resonator when the first switch switching point is connected to the impedance module, γ represents the inherent loss rate of the first input source, γ=R / 2L, and R represents the resistance value of the resistor;
[0049] Thus, the transient coherent perfect absorption of the reflected wave of the non-Hermitian resonant circuit is achieved.
[0050] When the switching switch is connected to the first switching connection point, the capacitor C, the inductor L, the resistor R, the first input source Vs and the impedance module Zs are connected to form a closed circuit. When the switching switch is connected to the second switching connection point, the capacitor C, the inductor L, the resistor R and the second input source VDC are connected to form a closed circuit.
[0051] In a specific embodiment of the present invention, the input voltage of the second input source VDC is adjustable, and the amplitude factor can be adjusted by adjusting the input voltage.
[0052] In a specific implementation of the present invention, the amplitude factor β is adjusted by adjusting the duration of the switching switch to connect to the second switching connection point.
[0053] The relationship between the amplitude adjustment factor β and the second input source VDC and the duration of connecting the second switching connection point is: Where V DC represents the power supply voltage of the second input source, and t2 represents the duration of connecting the second switching connection point.
[0054] In a specific embodiment of the present invention, the reflected wave of the non-Hermitian resonant circuit includes a steady-state wave and an evanescent wave;
[0055] The steady-state wave is expressed as:
[0056]
[0057] In formula 2, S S represents a steady-state wave, γ S represents the coupling between the first input source and the resonator formed by the combination of capacitance and inductance, γ represents the inherent loss rate of the first input source, A S represents the amplitude, |S0| 2 represents the power of the incident wave from the first input source, e iωtIndicates S S is a sine wave with an oscillation frequency of ω;
[0058] The evanescent wave is expressed as:
[0059]
[0060] In formula 3, S t represents the evanescent wave, A S represents the amplitude, γ S represents the coupling between the first input source and the resonator formed by the combination of capacitance and inductance, γ represents the inherent loss rate of the first input source, Indicates S t The oscillation frequency is ω0, and the decay rate is γ S +γ, wave with phase π;.
[0061] The reflected wave is equal to the sum of the steady-state wave and the evanescent wave, that is, S - =S t +S S , where S - Represents a reflected wave.
[0062] In a specific implementation of the present invention, the first input source Vs is an AC voltage source; and the second input source VDC is a DC voltage source.
[0063] The principle of realizing transient coherent perfect absorption by the non-Hermitian resonant circuit of the present invention is described below.
[0064] Considering the continuous harmonic S + =S0e iωt With real frequency ω incident on a non-Hermitian resonant system, the relevant dynamic equation is described by time CMT:
[0065]
[0066] Where ω0 and γ are the resonant frequency and inherent loss rate of harmonic mode a, respectively, S represents the coupling between the source and the resonator. According to formula (1), the reflected wave of the system can be expressed as
[0067] The initial state of a non-Hermitian system is considered to be a0 = -βA S When the resonant frequency ω=ω0 (the corresponding oscillation period is T=2π / ω0), the general solution of formula (1) can be written as a=a S +a t , where a S =A S e iωt and denote the particular solution and the homogeneous solution respectively. The amplitude is expressed as In particular, aS Corresponding to an oscillation angular frequency ω S = the stable response of ω, a t Corresponding to an oscillation angular frequency ω t =ω0+iγ+iγ S Since the evanescent wave is the homogeneous solution of the dynamic equations when the wave is input into the system, a decaying evanescent wave will be generated based on the initial value.
[0068] Both steady-state waves and self-excited evanescent waves will generate reflected waves. Therefore, the reflected wave contains two parts S - =S t +S S , the transient interference model is as follows Figure 2 The evanescent mode is represented by The stable mode is represented by Figure 3 The above three transient reflection waves S are given S ,S t and S - It can be clearly seen that the total reflected wave is composed of the stable mode S S and evanescent mode S t It should be emphasized that although the impedance mismatch (γ S ≠γ), but the TCPA caused by interference is still realized, such as Figure 3 As shown by the arrow in the figure. S (β+1) / (γ S -γ)>1 can achieve destructive interference, and the TCPA condition corresponds to
[0069] t CPA =Log[2γ S (β+1) / (γ S -γ)] / (γ S +γ) formula 1.
[0070] The non-Hermitian resonant circuit provided by the present invention realizes controllable transient interference by switching switches, such as Figure 1 As shown, the DC voltage source VDC (i.e., the second input source) and the AC source (i.e., the first input source) of the present invention are connected to a standard series resonant RLC circuit system through a double-throw switch, and the AC power supply of the impedance module Zs and the first input source Vs provides a harmonic signal S + .
[0071] The following is a specific example. In this example, the non-Hermitian resonant circuit is as follows Figure 1 As shown, the inductance value of the inductor L is L = 820μH and C = 1.72nF, and the resonant angular frequency of the system is The resistance value of the resistor R is R=2.8Ω, and the impedance module Zs=56Ω.
[0072] The circuit of this example can be directly expressed by the dynamic equation in formula (1), and the corresponding relationship is: γ=R / 2L, and γ S =Z S / 2L, where U C and I L Represent the capacitor voltage and inductor current respectively. When the switch is connected to the DC source VDC, the resonator starts to precharge to adjust the initial state a0 (i.e., the amplitude factor β) of the system. Subsequently, the switch is connected to the AC source Vs, and the steady-state mode and the evanescent mode undergo transient interference. Now consider the impedance mismatch as η = γ S For a non-Hermitian system with / γ=20, for different amplitude factors β in the initial state, the calculated reflectivity |S 11 | 2 =|S - / S + | 2 As a function of t / T and ω / ω0, Figure 4 As shown. According to formula 1, it can be found that for the case of η>1, when 2γ S (β+1) / (γ S -γ)>(γ S +γ), TCPA occurs. In particular, β = -1 separates destructive interference (β > -1) and constructive interference (β < -1) into two regions, and vice versa. The TCPA regions of the three non-Hermitian systems with amplitude factors β = 0, 1, and 2 are Figure 4 Marked with grey dots.
[0073] For a fixed frequency ω = ω0 (β = 1) the crest factor (frequency) cross section, reflectivity and ξ = t / t CPA The functional relationship of (ω / ω0) is as follows Figure 5 and Figure 6 .from Figure 5 It can be seen that as β increases from 0 to 2, t CPA Gradually away from time zero. As time goes by, the evanescent mode decays to 0, and the system will produce high reflectivity due to impedance mismatch, which is the traditional steady-state response stage. Due to constructive interference, TCPA will disappear in the case of β = -2. For the critical case of β = -1, the channel of the evanescent wave is closed (S t =0). Therefore, the transient interference disappears and the reflectivity always remains constant. In addition, when the frequency of the source deviates from the resonant frequency (ω≠ω0), the transient interference can also be tuned. Taking the case of β=1 as an example, the reflection spectra of different ξ values are as follows Figure 6As shown. Compared with the TCPA realized at the resonant frequency of the critical case ξ = 1.0 (light gray solid line), the TCPA points at other frequencies will split (disappear) within the weak (strong) normalized time ξ = 0.5 (ξ = 1.5), as shown by the dark gray solid line, and the frequency of TCPA will disappear within the strong normalized time ξ = 1.5, as shown by the dark black dashed line. The frequency splitting characteristics of TCPA within the normalized time are similar to the PT symmetric transition controlled by the coupling strength of the second-order non-Hermitian system. For non-Hermitian circuit systems, the normalized transient input power P in The transient reflectivity when ω=ω0 can be easily obtained: |S 11 2 =1-P in .
[0074] For different mismatch factors η = γ S / γ, the calculated reflectivity is a function of t / T and ω / ω0, such as Figure 8 As shown. In particular, η = 1 separates the destructive interference (η>1) and constructive interference (η<1) stages. When η>1, S S and S t out of phase, indicating destructive interference. The TCPA of two non-Hermitian systems with amplitude factors η = 20 and 30 is Figure 7 However, when η = 0.2 and 0.5, S S and S t In phase. Therefore, TCPA vanishes due to constructive interference. It should be noted that for non-Hermitian systems, after τ = 5 / (γ + γ S ) cycle, S t The reflectivity is |S 11 2 =(γ S -γ) 2 / (γ S +γ) 2 , which is only affected by the impedance mismatch factor. For the case of η = 1, the non-Hermitian resonant circuit is a perfect impedance matching system, S S Eliminated, only S t Therefore, the transient reflectivity will gradually decrease from 1 to 0, and zero reflection will occur in the steady state.
[0075] Figure 8 The reflectivity is shown as a function of t / T for different values of η at the resonant frequency ω = ω0. For the destructive interference (η>1) case, the position of the TCPA and the width of the low reflection window can be adjusted using η, as can be seen by comparing the black solid line (η = 20) and the dark gray solid line (η = 10). Figure 5The amplitude factor β in has the opposite effect on the TCPA position. As η increases, t CPA It gradually approaches zero. At the same time, for the steady state (ξ>>1), the reflection increases.
[0076] The present invention uses LTspice software to perform time domain circuit simulation, and obtains the functional relationship between the reflectivity of the switch non-Hermitian circuit and t / T (η = 20, ω = ω0, β = 0) and ω / ω0 (η = 20, ξ = 0.5, β = 0) as shown in the figure. Fig. 9 and Fig.10 As shown in Figure 2, it can be seen that the simulation results are in good agreement with the calculated results. Similar to the calculation of average power in an AC circuit, the oscillation obtained in the circuit simulation comes from the transient power input, which is ignored in CMT as an approximation.
[0077] The experimental observation results of transient interferometry and TCPA are as follows Fig.11 and Fig.12 As shown. In the experiment, the time domain signal generated by the signal generator (Agilent33600A series) is used as the signal source. Its port impedance is determined by the impedance transformer Zs. The inductor is wound on a magnetic core with a high flux ratio and a film capacitor is used. An oscilloscope (Keysight DSOS054A) is used to measure the electrical signal. Considering that the initial state is a0 = 0, that is, β = 0, the steady-state response and evanescent response with an oscillation angular frequency can be solved as a S =A S e iωt and Therefore, the corresponding two reflected waves are and In the experiment, the transformer Zs can be used to flexibly adjust the impedance of the source, thereby changing the impedance matching factor η of the system.
[0078] Fig.11 The function relationship of reflectivity and t / T for η = 20 and ω = ω0 is shown in the special case of no precharge (β = 0). Fig.11 As shown in the inset, the calculated results (light grey dashed line), simulation results (light grey solid line) and experimental results (black solid line) are consistent with each other. Fig.12 The comparison of the calculated value (light gray solid line), simulation value (stars) and experimental value (gray circles) reflectivity as a function of ω / ω0 is shown when β = 0, η = 20 and ξ = 1. It can be seen that when the frequency of the input signal deviates from the resonant frequency, the transient reflectivity increases significantly, and the measurement and simulation results are also very consistent with the theoretical results.
[0079] The present invention also provides an application of a non-Hermitian resonant circuit for realizing transient coherent absorption in wireless power transmission.
[0080] The present invention also provides an application of a non-Hermitian resonant circuit for realizing transient coherent absorption in a sensor.
[0081] The present invention also provides an application of a non-Hermitian resonant circuit for realizing transient coherent absorption in a detector.
[0082] The present invention realizes TCPA in an impedance mismatched non-Hermitian resonant system, involving transient interference between stable mode and evanescent mode. Controllable transient interference can be realized by using a switching switch, and the amplitude factor of the initial state of the system controls destructive and constructive interference. The resonant circuit of the present invention provides an opportunity to manipulate non-Hermitian interference through time domain control, providing clues for the application research of transient electromagnetic wave functional devices in the fields of wireless power transmission and filtering, and can also be naturally expanded and realized in other physical systems.
[0083] The present invention is described in detail above in conjunction with the embodiments of the accompanying drawings. A person skilled in the art can make various variations of the present invention according to the above description. Therefore, certain details in the embodiments should not constitute a limitation of the present invention, and the scope of protection of the present invention shall be defined by the scope of the attached claims.
Claims
1. A non-Hermitian resonant circuit for realizing transient coherent absorption, characterized in that: include: A series resonator including a capacitor, an inductor and a resistor; A switch connected to an end of the capacitor away from the inductor, the switch having a first switch connection point and a second switch connection point, and the switch can be selectively connected to the first switch connection point or the second switch connection point; An impedance module connected to the first switching point, wherein the impedance of the impedance module is adjustable; A first input source connected to the impedance module, wherein the other end of the first input source is connected to the resistor and grounded; a second input source connected to the second switching connection point, wherein the other end of the second input source is connected to a ground line of the first input source; The second switching connection point is switched by the switching switch so that the second input source charges the resonator, and the first switching connection point is switched by the switching switch, and the impedance size and / or amplitude factor of the impedance module are adjusted to meet the following conditions: t CPA = Log[2γ S (β + 1) / (γ S - γ)] / (γ S + γ) Equation 1 In formula 1, t CPA represents the instantaneous coherent perfect absorption of the reflected wave, γ S represents the coupling between the first input source and the resonator formed by the combination of capacitance and inductance, γ S =Z S / 2L,Z S represents the impedance value of the impedance module, L represents the inductance value of the inductor, β represents the amplitude factor, the magnitude of which is determined by the energy stored in the resonator when the first switch switching point is connected to the impedance module, γ represents the inherent loss rate of the first input source, γ=R / 2L, and R represents the resistance value of the resistor; Transient coherent perfect absorption of reflected waves in non-Hermitian resonant circuits is achieved.
2. The non-Hermitian resonant circuit for realizing transient coherent absorption according to claim 1, characterized in that: The input voltage of the second input source is adjustable, and the amplitude factor can be adjusted by adjusting the input voltage.
3. The non-Hermitian resonant circuit for realizing transient coherent absorption according to claim 1, characterized in that: The amplitude factor is adjusted by adjusting the duration of the switching switch switching the connection to the second switching connection point.
4. The non-Hermitian resonant circuit for realizing transient coherent absorption according to claim 1, characterized in that: The reflected waves of a non-Hermitian resonant circuit under resonant frequency excitation include steady-state waves and evanescent waves; The steady-state wave is expressed as: In formula 2, S S represents a steady-state wave, γ S represents the coupling between the first input source and the resonator formed by the combination of capacitance and inductance, γ represents the inherent loss rate of the first input source, A S represents the amplitude, |S0| 2 represents the power carried by the incident wave from the first input source, e iωt Indicates S S is a sine wave with an oscillation frequency of ω; The evanescent wave is expressed as: In formula 3, S t represents the evanescent wave, A S represents the amplitude, γ S represents the coupling between the first input source and the resonator formed by the combination of capacitance and inductance, γ represents the inherent loss rate of the first input source, Indicates S t The oscillation frequency is ω0, and the decay rate is γ S +γ, wave with phase π;. The reflected wave is equal to the sum of the steady-state wave and the evanescent wave.
5. The non-Hermitian resonant circuit for realizing transient coherent absorption according to claim 1, characterized in that: The first input source is an AC voltage source; the second input source is a DC voltage source.
6. Application of the non-Hermitian resonant circuit for realizing transient coherent absorption as claimed in claim 1 in wireless power transmission.
7. Application of the non-Hermitian resonant circuit for realizing transient coherent absorption as claimed in claim 1 in a sensor.
8. Application of the non-Hermitian resonant circuit for realizing transient coherent absorption as claimed in claim 1 in a detector.
